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100344043741 = 4115140014051
BaseRepresentation
bin101110101110011111…
…0001001100011011101
3100121000011000120112111
41131130332021203131
53121001033344431
6114033013034021
710151422204324
oct1353476114335
9317004016474
10100344043741
1139612662277
1217545025911
139601b8b816
144bdca1b0bb
1529245487b1
hex175cf898dd

100344043741 has 16 divisors (see below), whose sum is σ = 103523607936. Its totient is φ = 97200000000.

The previous prime is 100344043739. The next prime is 100344043801. The reversal of 100344043741 is 147340443001.

It is a happy number.

It is a 8-Lehmer number, since φ(100344043741) divides (100344043741-1)8.

It is a cyclic number.

It is not a de Polignac number, because 100344043741 - 21 = 100344043739 is a prime.

It is a super-2 number, since 2×1003440437412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100344041741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24768166 + ... + 24772216.

It is an arithmetic number, because the mean of its divisors is an integer number (6470225496).

Almost surely, 2100344043741 is an apocalyptic number.

It is an amenable number.

100344043741 is a deficient number, since it is larger than the sum of its proper divisors (3179564195).

100344043741 is a wasteful number, since it uses less digits than its factorization.

100344043741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8244.

The product of its (nonzero) digits is 16128, while the sum is 31.

Adding to 100344043741 its reverse (147340443001), we get a palindrome (247684486742).

The spelling of 100344043741 in words is "one hundred billion, three hundred forty-four million, forty-three thousand, seven hundred forty-one".

Divisors: 1 41 151 4001 4051 6191 164041 166091 604151 611701 16208051 24770191 25079741 664530091 2447415701 100344043741